Conjecturing and generalising

  • Dicey Array
    game
    Favourite

    Dicey Array

    Age
    5 to 11
    Challenge level
    filled star empty star empty star

    Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?

  • Counting Stick Conjectures
    problem

    Counting Stick Conjectures

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?
  • Make 37 Poster
    problem
    Favourite

    Make 37

    Age
    5 to 11
    Challenge level
    filled star filled star empty star

    Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

  • Hundred Square Poster
    problem
    Favourite

    Hundred Square

    Age
    5 to 11
    Challenge level
    filled star filled star empty star

    A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

  • Three Squares
    problem
    Favourite

    Three Squares

    Age
    5 to 11
    Challenge level
    filled star filled star filled star

    What is the greatest number of squares you can make by overlapping three squares?

  • Celebrate 25 Years of NRICH
    game

    Celebrate 25 years of NRICH

    Age
    5 to 14

    To celebrate NRICH's 25th birthday, why not play this special version of our classic game, Got It? Can you devise a strategy so that you will always win?

  • Nim-7 for Two
    game

    Nim-7 for Two

    Age
    5 to 14
    Challenge level
    filled star empty star empty star

    Nim-7 game for an adult and child. Who will be the one to take the last counter?

  • Window frames
    problem

    Window Frames

    Age
    5 to 14
    Challenge level
    filled star empty star empty star

    This task encourages you to investigate the number of edging pieces and panes in different sized windows.

  • Build it up
    problem
    Favourite

    Build It Up

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.

  • Spirals, spirals
    problem

    Spirals, Spirals

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Here are two kinds of spirals for you to explore. What do you notice?